Location: Room B1, UB
Time: 16:00
Day: Friday 11th, October
Author: Teodoro Mayayo, UAB
TITLE: Local Codimension-1 Bifurcations In Planar Filippov Systems.
Abstract
This talk serves as a valuable introduction to the qualitative theory of non-smooth dynamics, particularly focusing on codimension-1 bifurcations in planar systems. It includes a review of canonical forms for codimension-1 vector fields as well as the idea of the proof of their existence, a demonstration of the existence of the hyperbolic limit cycle in the invisible fold-fold for α > 0, and a comparative study of the invisible fold-fold bifurcation with the classical Andronov-Hopf bifurcation. In the assessment of the limit cycle’s stability, it is been adapted a method from classical dynamical systems developed in [Andronov, 1971].